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Finding the Fourth Proportional to 180,898.62, 249,653.34 and 100,341.38

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Solution

The fourth proportional to 180,898.62, 249,653.34 and 100,341.38 is: 138,478.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,898.62 : 249,653.34 = 100,341.38 : x
  2. Step 2: Convert to fraction form
    180,898.62/249,653.34 = 100,341.38/x
  3. Step 3: Cross multiply
    180,898.62x = 249,653.34 × 100,341.38
  4. Step 4: Simplify right side
    180,898.62x = 25,050,561,281.34
  5. Step 5: Solve for x
    x = 25,050,561,281.34/180,898.62
  6. Step 6: Final answer
    x = 138,478.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.